# A test has a mean of 153 and a standard deviation of 12, how do you find the test scores that correspond to (a) z= 1.2 and (b) z = -2.4?

Thus, the score for (a) is $a = 153 + 1.2 \left(12\right) = 167.4$, and the score for (b) is $b = 153 - 2.4 \left(12\right) = 124.2$.
Assuming that the test scores must be whole numbers (and thus one cannot gain 0.4 points on a question, for example), we would round these to the nearest whole number, yielding $a = 167 , b = 124$.